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Unformatted text preview: a a ) ( ) ( t t a v t v x − + → Area of rectangle Ch 2: Kinematics in One Dimension ∑ = ∆ + = t t t n x n n t v t t x t x ) ( ) ( ) ( Position as Area under Velocity vs Time Curve v x (t) t t t 2 t 1 t n1 t n Integral = Area under curve ∫ + → t t x t v dt x t x ) ' ( ' ) ( ∆ t ) ( t v t x x ∆ = ∆ Ch 2: Kinematics in One Dimension Position as Area under Velocity vs Time Curve ) ( t t a v v − + = t t v t v a (tt ) Triangle Rectangle Example: Constant a 2 2 1 ) ( ) ( ) ( t t a t t v x t x − + − + = Rectangle + Triangle Ch 2: Kinematics in One Dimension a v v t t − = − ⇒ ) ( 2 2 2 x x a v v − + = For constant acceleration a , initial position x , initial velocity v : 2 2 1 ) ( ) ( t t a t t v x x − + − + = ) ( t t a v v − + = Memorize this! Memorize this!...
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 Fall '07
 Mueller
 Physics, Acceleration, Velocity, acceleration vs time, time curve, vs Time Curve

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